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There is a family of unitarizable representations $\\pi_{\\nu}$ of $G$ for $\\nu$ in an interval on $\\mathbb R^+$, the so-called complementary series, and subquotient or subrepresentations of $G$ for $\\nu$ being negative integers. We consider the restriction of $(\\pi_{\\nu}, G)$ under the subgroup $H=SO(n-1, 1; \\mathbb K)$. We prove the appearing of discrete components. 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There is a family of unitarizable representations $\\pi_{\\nu}$ of $G$ for $\\nu$ in an interval on $\\mathbb R^+$, the so-called complementary series, and subquotient or subrepresentations of $G$ for $\\nu$ being negative integers. We consider the restriction of $(\\pi_{\\nu}, G)$ under the subgroup $H=SO(n-1, 1; \\mathbb K)$. We prove the appearing of discrete components. 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